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Finding the Fourth Proportional to 622.67, 859.64 and 374.09

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Solution

The fourth proportional to 622.67, 859.64 and 374.09 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.67 : 859.64 = 374.09 : x
  2. Step 2: Convert to fraction form
    622.67/859.64 = 374.09/x
  3. Step 3: Cross multiply
    622.67x = 859.64 × 374.09
  4. Step 4: Simplify right side
    622.67x = 321,576.56
  5. Step 5: Solve for x
    x = 321,576.56/622.67
  6. Step 6: Final answer
    x = 516.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.